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Finding the Fourth Proportional to 3,100.76, 4,277.46 and 1,980.52

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Solution

The fourth proportional to 3,100.76, 4,277.46 and 1,980.52 is: 2,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.76 : 4,277.46 = 1,980.52 : x
  2. Step 2: Convert to fraction form
    3,100.76/4,277.46 = 1,980.52/x
  3. Step 3: Cross multiply
    3,100.76x = 4,277.46 × 1,980.52
  4. Step 4: Simplify right side
    3,100.76x = 8,471,595.08
  5. Step 5: Solve for x
    x = 8,471,595.08/3,100.76
  6. Step 6: Final answer
    x = 2,732.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.